On the generalized mass transport equation to the concept of variable fractional derivative
The hydrodynamic dispersion equation was generalized using the concept of variational order derivative. The modified equation was numerically solved via the Crank-Nicholson scheme. The stability and convergence of the scheme in this case were presented. The numerical simulations showed that, the mod...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/34736/ http://psasir.upm.edu.my/id/eprint/34736/1/On%20the%20Generalized%20Mass%20Transport%20Equation%20to.pdf |
| _version_ | 1848847857306566656 |
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| author | Atangana, Abdon Kilicman, Adem |
| author_facet | Atangana, Abdon Kilicman, Adem |
| author_sort | Atangana, Abdon |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The hydrodynamic dispersion equation was generalized using the concept of variational order derivative. The modified equation was numerically solved via the Crank-Nicholson scheme. The stability and convergence of the scheme in this case were presented. The numerical simulations showed that, the modified equation is more reliable in predicting the movement of pollution in the deformable aquifers, than the constant fractional and integer derivatives. |
| first_indexed | 2025-11-15T09:25:16Z |
| format | Article |
| id | upm-34736 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:25:16Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-347362015-12-21T13:12:30Z http://psasir.upm.edu.my/id/eprint/34736/ On the generalized mass transport equation to the concept of variable fractional derivative Atangana, Abdon Kilicman, Adem The hydrodynamic dispersion equation was generalized using the concept of variational order derivative. The modified equation was numerically solved via the Crank-Nicholson scheme. The stability and convergence of the scheme in this case were presented. The numerical simulations showed that, the modified equation is more reliable in predicting the movement of pollution in the deformable aquifers, than the constant fractional and integer derivatives. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/34736/1/On%20the%20Generalized%20Mass%20Transport%20Equation%20to.pdf Atangana, Abdon and Kilicman, Adem (2014) On the generalized mass transport equation to the concept of variable fractional derivative. Mathematical Problems in Engineering, 2014. art. no. 542809. pp. 1-9. ISSN 1024-123X; ESSN: 1563-5147 http://www.hindawi.com/journals/mpe/2014/542809/abs/ 10.1155/2014/542809 |
| spellingShingle | Atangana, Abdon Kilicman, Adem On the generalized mass transport equation to the concept of variable fractional derivative |
| title | On the generalized mass transport equation to the concept of variable fractional derivative |
| title_full | On the generalized mass transport equation to the concept of variable fractional derivative |
| title_fullStr | On the generalized mass transport equation to the concept of variable fractional derivative |
| title_full_unstemmed | On the generalized mass transport equation to the concept of variable fractional derivative |
| title_short | On the generalized mass transport equation to the concept of variable fractional derivative |
| title_sort | on the generalized mass transport equation to the concept of variable fractional derivative |
| url | http://psasir.upm.edu.my/id/eprint/34736/ http://psasir.upm.edu.my/id/eprint/34736/ http://psasir.upm.edu.my/id/eprint/34736/ http://psasir.upm.edu.my/id/eprint/34736/1/On%20the%20Generalized%20Mass%20Transport%20Equation%20to.pdf |